Find the LCM of 717, 714, 524, 119 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 717, 714, 524, 119. So, keep reading to learn more.
Given numbers are 717,714,524,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,714,524,119 is 44709252.
Find LCM of 717,714,524,119 with Prime Factorization
2 | 717, 714, 524, 119 |
3 | 717, 357, 262, 119 |
7 | 239, 119, 262, 119 |
17 | 239, 17, 262, 17 |
239, 1, 262, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 239 x 1 x 262 x 1 = 44709252
Therefore, the lowest common multiple of 717,714,524,119 is 44709252.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
717 x 714 x 524 x 119 = 31922405928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
717 : 1, 3, 239, 717
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
524 : 1, 2, 4, 131, 262, 524
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,714,524,119, is 1.
Now, the common factors can be found like this.
717:3x 239
714:2x 3x 7x 17
524:2x 2x 131
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17 = 714
Therefore, the value for common factors is 714.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 31922405928/(1x714)
LCM = 31922405928/714
LCM = 44709252
Thus, we can understand that the LCM of 717,714,524,119 is 44709252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 714, 524, 119?
Answer: LCM of 717, 714, 524, 119 is 44709252.
2. How to calculate the LCM of 717, 714, 524, 119?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 717, 714, 524, 119.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.